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Facteur de Landé — Wikipédia

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</a> <ul id="toc-Atome-sublist" class="vector-toc-list"> <li id="toc-Moment_électronique" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Moment_électronique"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.1</span> <span>Moment électronique</span> </div> </a> <ul id="toc-Moment_électronique-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Moment_total" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Moment_total"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.2</span> <span>Moment total</span> </div> </a> <ul id="toc-Moment_total-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Notes_et_références" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notes_et_références"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Notes et références</span> </div> </a> <ul id="toc-Notes_et_références-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Articles_connexes" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Articles_connexes"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Articles connexes</span> </div> </a> <ul id="toc-Articles_connexes-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Sommaire" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Table des matières" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Basculer 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aria-label="Aller à un article dans une autre langue. Disponible en 14 langues." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-14" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">14 langues</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%A7%D9%85%D9%84_%D8%A7%D9%84%D8%AF%D9%88%D8%B1%D8%A7%D9%86_%D8%BA%D9%8A%D8%B1_%D8%A7%D9%84%D9%85%D8%B1%D9%83%D8%B2%D9%8A" title="عامل الدوران غير المركزي – arabe" lang="ar" hreflang="ar" data-title="عامل الدوران غير المركزي" data-language-autonym="العربية" data-language-local-name="arabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%9C%E0%A6%BF-%E0%A6%AB%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%95%E0%A7%8D%E0%A6%9F%E0%A6%B0_(%E0%A6%AA%E0%A6%A6%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A6%AC%E0%A6%BF%E0%A6%9C%E0%A7%8D%E0%A6%9E%E0%A6%BE%E0%A6%A8)" title="জি-ফ্যাক্টর (পদার্থবিজ্ঞান) – bengali" lang="bn" hreflang="bn" data-title="জি-ফ্যাক্টর (পদার্থবিজ্ঞান)" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Factor_g" title="Factor g – catalan" lang="ca" hreflang="ca" data-title="Factor g" data-language-autonym="Català" data-language-local-name="catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/G-factor_(physics)" title="G-factor (physics) – anglais" lang="en" hreflang="en" data-title="G-factor (physics)" data-language-autonym="English" data-language-local-name="anglais" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Factor-g_(f%C3%ADsica)" title="Factor-g (física) – espagnol" lang="es" hreflang="es" data-title="Factor-g (física)" data-language-autonym="Español" data-language-local-name="espagnol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/G-fhacht%C3%B3ir" title="G-fhachtóir – irlandais" lang="ga" hreflang="ga" data-title="G-fhachtóir" data-language-autonym="Gaeilge" data-language-local-name="irlandais" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Fattore-g" title="Fattore-g – italien" lang="it" hreflang="it" data-title="Fattore-g" data-language-autonym="Italiano" data-language-local-name="italien" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/G%E5%9B%A0%E5%AD%90" title="G因子 – japonais" lang="ja" hreflang="ja" data-title="G因子" data-language-autonym="日本語" data-language-local-name="japonais" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/G-%EC%83%81%EC%88%98" title="G-상수 – coréen" lang="ko" hreflang="ko" data-title="G-상수" data-language-autonym="한국어" data-language-local-name="coréen" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/G-faktor_i_fysikk" title="G-faktor i fysikk – norvégien nynorsk" lang="nn" hreflang="nn" data-title="G-faktor i fysikk" data-language-autonym="Norsk nynorsk" data-language-local-name="norvégien nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/G-%D0%A4%D0%B0%D0%BA%D1%82%D0%BE%D1%80" title="G-Фактор – russe" lang="ru" hreflang="ru" data-title="G-Фактор" data-language-autonym="Русский" data-language-local-name="russe" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/G-%D1%84%D0%B0%D0%BA%D1%82%D0%BE%D1%80" title="G-фактор – ukrainien" lang="uk" hreflang="uk" data-title="G-фактор" data-language-autonym="Українська" data-language-local-name="ukrainien" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/G-omil_(fizika)" title="G-omil (fizika) – ouzbek" lang="uz" hreflang="uz" data-title="G-omil (fizika)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="ouzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/G%E5%9B%A0%E5%AD%90" title="G因子 – chinois" lang="zh" hreflang="zh" data-title="G因子" data-language-autonym="中文" data-language-local-name="chinois" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q1951266#sitelinks-wikipedia" title="Modifier les liens interlangues" class="wbc-editpage">Modifier les liens</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div 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data-event-name="pinnable-header.vector-page-tools.pin">déplacer vers la barre latérale</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">masquer</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Plus d’options" > <div class="vector-menu-heading"> Actions </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Facteur_de_Land%C3%A9"><span>Lire</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit" title="Modifier cette page [v]" accesskey="v"><span>Modifier</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a 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href="/wiki/Fichier:Darstellung_des_anomalen_magnetischen_Moments_des_Myons.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Darstellung_des_anomalen_magnetischen_Moments_des_Myons.jpg/220px-Darstellung_des_anomalen_magnetischen_Moments_des_Myons.jpg" decoding="async" width="220" height="198" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Darstellung_des_anomalen_magnetischen_Moments_des_Myons.jpg/330px-Darstellung_des_anomalen_magnetischen_Moments_des_Myons.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/92/Darstellung_des_anomalen_magnetischen_Moments_des_Myons.jpg/440px-Darstellung_des_anomalen_magnetischen_Moments_des_Myons.jpg 2x" data-file-width="696" data-file-height="626" /></a><figcaption>Représentation du moment magnétique anormal du muon</figcaption></figure> <p>En <a href="/wiki/M%C3%A9canique_quantique" title="Mécanique quantique">mécanique quantique</a>, le <b>facteur de Landé</b> est une <a href="/wiki/Grandeur_sans_dimension" title="Grandeur sans dimension">grandeur physique sans dimension</a> qui permet de relier le <a href="/wiki/Moment_magn%C3%A9tique" title="Moment magnétique">moment magnétique</a> au <a href="/wiki/Moment_cin%C3%A9tique" title="Moment cinétique">moment cinétique</a> d'un <a href="/wiki/%C3%89tat_quantique" title="État quantique">état quantique</a>. Il est essentiellement utilisé dans le cas d'une <a href="/wiki/Particule_(physique)" class="mw-redirect mw-disambig" title="Particule (physique)">particule</a> de <a href="/wiki/Spin" title="Spin">spin</a> non nul. </p><p>Il est ainsi nommé en l'honneur d'<a href="/wiki/Alfred_Land%C3%A9" title="Alfred Landé">Alfred Landé</a> qui l'a introduit en <a href="/wiki/1921" title="1921">1921</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Définition"><span id="D.C3.A9finition"></span>Définition</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=1" title="Modifier la section : Définition" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=1" title="Modifier le code source de la section : Définition"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Vers le milieu des années 1910, l'<a href="/wiki/Effet_Einstein-de_Haas" title="Effet Einstein-de Haas">effet Einstein-de Haas</a> avait montré que le moment cinétique de spin est effectivement de même nature que le moment cinétique des solides en rotation tel que le décrit la <a href="/wiki/M%C3%A9canique_classique" class="mw-redirect" title="Mécanique classique">mécanique classique</a>&#160;; mais les calculs fondés sur le modèle de spin d'électron en tant que mouvement de charge électrique sous-estiment ce moment magnétique d'un facteur d'environ 2. </p> <div class="mw-heading mw-heading3"><h3 id="Moment_magnétique_orbital"><span id="Moment_magn.C3.A9tique_orbital"></span>Moment magnétique orbital</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=2" title="Modifier la section : Moment magnétique orbital" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=2" title="Modifier le code source de la section : Moment magnétique orbital"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Au <a href="/wiki/Moment_cin%C3%A9tique_orbital" title="Moment cinétique orbital">moment cinétique orbital</a> d'une particule de charge <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/06809d64fa7c817ffc7e323f85997f783dbdf71d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.07ex; height:2.009ex;" alt="{\displaystyle q}"></span> (positive ou négative) et de masse <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0a07d98bb302f3856cbabc47b2b9016692e3f7bc" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.04ex; height:1.676ex;" alt="{\displaystyle m}"></span> est associé un <a href="/wiki/Moment_magn%C3%A9tique" title="Moment magnétique">moment magnétique</a> orbital&#160;: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {\mu }}_{L}\ =\ {\frac {q}{2m}}\ {\vec {L}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>L</mi> </mrow> </msub> <mtext>&#xA0;</mtext> <mo>=</mo> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>q</mi> <mrow> <mn>2</mn> <mi>m</mi> </mrow> </mfrac> </mrow> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>L</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\mu }}_{L}\ =\ {\frac {q}{2m}}\ {\vec {L}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee702342932b2eed860dcf7353b97c969532b63d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:13.215ex; height:4.843ex;" alt="{\displaystyle {\vec {\mu }}_{L}\ =\ {\frac {q}{2m}}\ {\vec {L}}}"></span>,</dd></dl> <p>où </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \gamma =\ {\frac {q}{2m}}\ \ }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>&#x03B3;<!-- γ --></mi> <mo>=</mo> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>q</mi> <mrow> <mn>2</mn> <mi>m</mi> </mrow> </mfrac> </mrow> <mtext>&#xA0;</mtext> <mtext>&#xA0;</mtext> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \gamma =\ {\frac {q}{2m}}\ \ }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a65afc557073dc4917c08c141dbc0d2bc59802a8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:10.142ex; height:4.843ex;" alt="{\displaystyle \gamma =\ {\frac {q}{2m}}\ \ }"></span> est le <a href="/wiki/Rapport_gyromagn%C3%A9tique" title="Rapport gyromagnétique">rapport gyromagnétique</a> qui est le même que dans le cadre de la <a href="/wiki/M%C3%A9canique_classique" class="mw-redirect" title="Mécanique classique">mécanique classique</a>&#160;;</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {L}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>L</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {L}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0c139fc28d6ca3873993892f44e7331e5ff18fd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.583ex; height:2.843ex;" alt="{\displaystyle {\vec {L}}}"></span> est le moment cinétique orbital&#160;;</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mu _{L}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>&#x03BC;<!-- μ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>L</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mu _{L}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/76ead3fb6403830911f81cec11c800bd9e67e243" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:2.753ex; height:2.176ex;" alt="{\displaystyle \mu _{L}}"></span> est le moment magnétique orbital.</li></ul> <div class="mw-heading mw-heading3"><h3 id="Moment_magnétique_de_spin"><span id="Moment_magn.C3.A9tique_de_spin"></span>Moment magnétique de spin</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=3" title="Modifier la section : Moment magnétique de spin" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=3" title="Modifier le code source de la section : Moment magnétique de spin"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Toutefois, dans le cas d'une particule fondamentale, les moments cinétique et <a href="/wiki/Moment_magn%C3%A9tique_de_spin" title="Moment magnétique de spin">magnétique</a> de <a href="/wiki/Spin" title="Spin">spin</a>, ne sont plus dans un rapport qui ne dépende que de la charge et de la masse, et l'on introduit un <a href="/wiki/Nombre_sans_dimension" class="mw-redirect" title="Nombre sans dimension">nombre sans dimension</a>, <i>g</i>, facteur de Landé qui permette d'écrire </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\vec {\mu }}_{S}\ =\ {\frac {g.q}{2m}}\ {\vec {S}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>&#x03BC;<!-- μ --></mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>S</mi> </mrow> </msub> <mtext>&#xA0;</mtext> <mo>=</mo> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>g</mi> <mo>.</mo> <mi>q</mi> </mrow> <mrow> <mn>2</mn> <mi>m</mi> </mrow> </mfrac> </mrow> <mtext>&#xA0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>S</mi> <mo stretchy="false">&#x2192;<!-- → --></mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\vec {\mu }}_{S}\ =\ {\frac {g.q}{2m}}\ {\vec {S}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/35beed05f680bb63193aed7827196b737f6c65d0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:13.129ex; height:4.843ex;" alt="{\displaystyle {\vec {\mu }}_{S}\ =\ {\frac {g.q}{2m}}\ {\vec {S}}}"></span>,</dd></dl> <p>où </p> <ul><li><i>g</i> est le facteur de Landé de la particule concernée&#160;;</li> <li><i>S</i> est le <a href="/wiki/Spin" title="Spin">spin</a>&#160;;</li> <li><i>μ<sub>S</sub></i> est le <a href="/wiki/Moment_magn%C3%A9tique_de_spin" title="Moment magnétique de spin">moment magnétique de spin</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Valeurs">Valeurs</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=4" title="Modifier la section : Valeurs" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=4" title="Modifier le code source de la section : Valeurs"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Particules_courantes">Particules courantes</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=5" title="Modifier la section : Particules courantes" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=5" title="Modifier le code source de la section : Particules courantes"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'<a href="/wiki/%C3%89quation_de_Schr%C3%B6dinger" title="Équation de Schrödinger">équation de Schrödinger</a> ne fait pas intervenir le <a href="/wiki/Spin" title="Spin">spin</a> des particules, de sorte que la <a href="/wiki/M%C3%A9canique_quantique" title="Mécanique quantique">mécanique quantique</a> non <a href="/wiki/Relativit%C3%A9_restreinte" title="Relativité restreinte">relativiste</a> ne permet pas de déduire la valeur du facteur de Landé d'une particule de spin non nul. Une théorie plus précise, l'<a href="/wiki/%C3%89quation_de_Dirac" title="Équation de Dirac">équation de Dirac</a>, qui décrit les <a href="/wiki/Fermion" title="Fermion">fermions</a> relativistes de spin 1/2, prédit une valeur <i>g</i><sub>e</sub>&#160;=&#160;-<i>g</i>&#160;=&#160;−2 pour l'<a href="/wiki/%C3%89lectron" title="Électron">électron</a> très proche de la valeur expérimentale de −2,0023, et l'écart entre les deux est expliqué dans le cadre de l'<a href="/wiki/%C3%89lectrodynamique_quantique" title="Électrodynamique quantique">électrodynamique quantique</a>. </p> <div class="bandeau-container bandeau-section metadata bandeau-niveau-information"><div class="bandeau-cell bandeau-icone-css loupe">Article détaillé&#160;: <a href="/wiki/Moment_magn%C3%A9tique_anomal" title="Moment magnétique anomal">Moment magnétique anomal</a>.</div></div> <table class="wikitable centre"> <caption>Valeurs <a href="/wiki/NIST" class="mw-redirect" title="NIST">NIST</a> du facteur de Landé<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup>. </caption> <tbody><tr> <th scope="col"><a href="/wiki/Particule_(physique)" class="mw-redirect mw-disambig" title="Particule (physique)">particule</a> </th> <th scope="col"><i>g</i><sub>particule</sub> </th> <th scope="col"><a href="/wiki/Incertitude_de_mesure" title="Incertitude de mesure">Δ<i>g</i></a> </th></tr> <tr> <th scope="row"><a href="/wiki/%C3%89lectron" title="Électron">électron</a> </th> <td>−2,002 319 304 361 82</td> <td>0,000 000 000 000 52 </td></tr> <tr> <th scope="row"><a href="/wiki/Neutron" title="Neutron">neutron</a> </th> <td>−3,826 085 45</td> <td>0,000 000 90 </td></tr> <tr> <th scope="row"><a href="/wiki/Proton" title="Proton">proton</a> </th> <td>+5,585 694 702</td> <td>0,000 000 017 </td></tr> <tr> <th scope="row"><a href="/wiki/Muon" title="Muon">muon</a> </th> <td>−2,002 331 8418</td> <td>0,000 000 0013 </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="Atome">Atome</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=6" title="Modifier la section : Atome" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=6" title="Modifier le code source de la section : Atome"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Pour un <a href="/wiki/Atome" title="Atome">atome</a>, le facteur de Landé intervient dans le calcul des <a href="/wiki/Niveau_d%27%C3%A9nergie" title="Niveau d&#39;énergie">niveaux d'énergie</a> atomiques en <a href="/wiki/Champ_magn%C3%A9tique" title="Champ magnétique">champ magnétique</a> faible. </p> <div class="mw-heading mw-heading4"><h4 id="Moment_électronique"><span id="Moment_.C3.A9lectronique"></span>Moment électronique</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=7" title="Modifier la section : Moment électronique" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=7" title="Modifier le code source de la section : Moment électronique"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Si l'on s'intéresse au moment cinétique électronique <i>J</i> somme du spin électronique <i>S</i> et du moment cinétique orbital <i>L</i>, le facteur de Landé vaut&#160;: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g_{J}=g_{L}\,{\frac {J(J+1)-S(S+1)+L(L+1)}{2J(J+1)}}+g_{S}\,{\frac {J(J+1)+S(S+1)-L(L+1)}{2J(J+1)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>J</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>L</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>S</mi> <mo stretchy="false">(</mo> <mi>S</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mi>L</mi> <mo stretchy="false">(</mo> <mi>L</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>+</mo> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>S</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mi>S</mi> <mo stretchy="false">(</mo> <mi>S</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>L</mi> <mo stretchy="false">(</mo> <mi>L</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g_{J}=g_{L}\,{\frac {J(J+1)-S(S+1)+L(L+1)}{2J(J+1)}}+g_{S}\,{\frac {J(J+1)+S(S+1)-L(L+1)}{2J(J+1)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/792dff4ae89d340cd76e2b60ef4a1c1e18d4fa2f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:80.077ex; height:6.509ex;" alt="{\displaystyle g_{J}=g_{L}\,{\frac {J(J+1)-S(S+1)+L(L+1)}{2J(J+1)}}+g_{S}\,{\frac {J(J+1)+S(S+1)-L(L+1)}{2J(J+1)}}}"></span>,</dd></dl> <p>soit approximativement </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g_{J}\approx 1+{\frac {J(J+1)-L(L+1)+S(S+1)}{2J(J+1)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>J</mi> </mrow> </msub> <mo>&#x2248;<!-- ≈ --></mo> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>L</mi> <mo stretchy="false">(</mo> <mi>L</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mi>S</mi> <mo stretchy="false">(</mo> <mi>S</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g_{J}\approx 1+{\frac {J(J+1)-L(L+1)+S(S+1)}{2J(J+1)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42f1c5bafa06086e95e3547bc91f370131193157" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:42.543ex; height:6.509ex;" alt="{\displaystyle g_{J}\approx 1+{\frac {J(J+1)-L(L+1)+S(S+1)}{2J(J+1)}}}"></span></dd></dl> <p>avec </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g_{L}\approx 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>L</mi> </mrow> </msub> <mo>&#x2248;<!-- ≈ --></mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g_{L}\approx 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f7ae0a372f622a67e72f7270ccbf5628e38c839" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.721ex; height:2.509ex;" alt="{\displaystyle g_{L}\approx 1}"></span>&#160;;</dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g_{S}\approx 2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>S</mi> </mrow> </msub> <mo>&#x2248;<!-- ≈ --></mo> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g_{S}\approx 2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d9371bb155be54d2b1be2e38925c4b5f547b5855" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:6.662ex; height:2.509ex;" alt="{\displaystyle g_{S}\approx 2}"></span>.</dd></dl> <p>Le calcul du spin <i>S</i> ne fait intervenir que les <a href="/wiki/Valence_(chimie)" title="Valence (chimie)">électrons de valence</a>. </p> <div class="mw-heading mw-heading4"><h4 id="Moment_total">Moment total</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=8" title="Modifier la section : Moment total" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=8" title="Modifier le code source de la section : Moment total"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Si l'on s'intéresse au moment cinétique total de l'atome <i>F</i>, somme du spin <a href="/wiki/Noyau_atomique" title="Noyau atomique">nucléaire</a> <i>I</i> et du moment cinétique électronique <i>J</i>, le facteur de Landé s'écrit </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g_{F}=g_{J}\,{\frac {F(F+1)-I(I+1)+J(J+1)}{2F(F+1)}}+g_{I}\,{\frac {F(F+1)+I(I+1)-J(J+1)}{2F(F+1)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>F</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>J</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>F</mi> <mo stretchy="false">(</mo> <mi>F</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>I</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>F</mi> <mo stretchy="false">(</mo> <mi>F</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> <mo>+</mo> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>I</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>F</mi> <mo stretchy="false">(</mo> <mi>F</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mi>I</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>F</mi> <mo stretchy="false">(</mo> <mi>F</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g_{F}=g_{J}\,{\frac {F(F+1)-I(I+1)+J(J+1)}{2F(F+1)}}+g_{I}\,{\frac {F(F+1)+I(I+1)-J(J+1)}{2F(F+1)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/dc0f247979bf1854e29434389bbdb5986dc33981" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:79.279ex; height:6.509ex;" alt="{\displaystyle g_{F}=g_{J}\,{\frac {F(F+1)-I(I+1)+J(J+1)}{2F(F+1)}}+g_{I}\,{\frac {F(F+1)+I(I+1)-J(J+1)}{2F(F+1)}}}"></span>,</dd></dl> <p>soit approximativement </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g_{F}\approx g_{J}\,{\frac {F(F+1)-I(I+1)+J(J+1)}{2F(F+1)}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>F</mi> </mrow> </msub> <mo>&#x2248;<!-- ≈ --></mo> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>J</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>F</mi> <mo stretchy="false">(</mo> <mi>F</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mi>I</mi> <mo stretchy="false">(</mo> <mi>I</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mi>J</mi> <mo stretchy="false">(</mo> <mi>J</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>2</mn> <mi>F</mi> <mo stretchy="false">(</mo> <mi>F</mi> <mo>+</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g_{F}\approx g_{J}\,{\frac {F(F+1)-I(I+1)+J(J+1)}{2F(F+1)}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/30c15ca498f17cb9bc114d02d06f8919f444984a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:41.161ex; height:6.509ex;" alt="{\displaystyle g_{F}\approx g_{J}\,{\frac {F(F+1)-I(I+1)+J(J+1)}{2F(F+1)}}}"></span>.</dd></dl> <p>La simplification provient de l'approximation </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle g_{I}\approx g_{J}\,{\frac {m_{\mathrm {e} }}{m_{\mathrm {p} }}}\ll 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>I</mi> </mrow> </msub> <mo>&#x2248;<!-- ≈ --></mo> <msub> <mi>g</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>J</mi> </mrow> </msub> <mspace width="thinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">e</mi> </mrow> </mrow> </msub> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">p</mi> </mrow> </mrow> </msub> </mfrac> </mrow> <mo>&#x226A;<!-- ≪ --></mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle g_{I}\approx g_{J}\,{\frac {m_{\mathrm {e} }}{m_{\mathrm {p} }}}\ll 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c1e6903bfc77b4689fc9a923cbe974c36c998f22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:16.836ex; height:5.343ex;" alt="{\displaystyle g_{I}\approx g_{J}\,{\frac {m_{\mathrm {e} }}{m_{\mathrm {p} }}}\ll 1}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=9" title="Modifier la section : Notes et références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=9" title="Modifier le code source de la section : Notes et références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small decimal" style=""><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a> </span><span class="reference-text"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> <a rel="nofollow" class="external text" href="http://physics.nist.gov/cgi-bin/cuu/Results?search_for=g+factor">Valeurs du facteur de Landé des particules courantes</a> sur le site du <a href="/wiki/National_Institute_of_Standards_and_Technology" title="National Institute of Standards and Technology">National Institute of Standards and Technology</a></span> </li> </ol> </div> <div class="mw-heading mw-heading2"><h2 id="Articles_connexes">Articles connexes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;veaction=edit&amp;section=10" title="Modifier la section : Articles connexes" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Facteur_de_Land%C3%A9&amp;action=edit&amp;section=10" title="Modifier le code source de la section : Articles connexes"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Particule_(physique)" class="mw-redirect mw-disambig" title="Particule (physique)">particule</a> ~ <a href="/wiki/Atome" title="Atome">atome</a> ~ <a href="/wiki/Noyau_atomique" title="Noyau atomique">noyau atomique</a></li> <li><a href="/wiki/Spin" title="Spin">spin</a> ~ <a href="/wiki/Moment_cin%C3%A9tique_orbital" title="Moment cinétique orbital">moment cinétique orbital</a> ~ <a href="/wiki/Moment_cin%C3%A9tique_quantique" class="mw-redirect" title="Moment cinétique quantique">moment cinétique quantique</a></li> <li><a href="/wiki/Moment_magn%C3%A9tique" title="Moment magnétique">moment magnétique</a> ~ <a href="/wiki/Moment_magn%C3%A9tique_de_spin" title="Moment magnétique de spin">moment magnétique de spin</a> ~ <a href="/wiki/Moment_magn%C3%A9tique_anomal" title="Moment magnétique anomal">moment magnétique anomal</a></li> <li><a href="/wiki/R%C3%A9sonance_paramagn%C3%A9tique_%C3%A9lectronique" 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